# unit 9 project, algebra homework help

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Mathematics

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Unit 9 Project Evaluate each expression. 1. 2. P​ (12, 4) C​ (13, 6) 3. How many ways can 11 bowling balls be arranged on the upper rack of a balling ball shelf? 4. How many different outfits can be made if you choose 1 each from 12 skirts, 8 blouses, 2 belts, and 6 pairs of shoes? 5. How many ways can the letter of the word ​ MOROCCO ​ be arranged? 6. How many different soccer teams of 11 players can be formed from 20 players? 7. Two cards are drawn in succession from a standard deck of cards without replacement. What is the probability that both cards are greater than 4 but less than 9? 8. Eleven people are going on a camping trip in three cards that hold 5, 2, and 4 passengers, respectively. How many ways is it possible to transport the people to their campsite? 9. A shipment of 10 television contains 3 defective sets. How many ways can a hospital purchase 4 of these sets and receive at least 2 defective sets? 10. The number of colored golf balls in a box is shown in the table below. Three golf balls are drawn from the box in succession, each being replaced in the box before the next draw is made. What is the probability that all 3 gold balls are the same color?
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## Explanation & Answer

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1. P(12,4)=12*11*10*9= 11880
2. C(13,6)=(13*12*11*10*9*8)/(6*5*4*3*2*1)=1716
3. Considering the upper rank can contain 11 balls so the number of ways =
P(11,11)= 39,916,800
4. Number of outfits= P(12,1)* P(8,1)* P(2,1)*P(6,1)=12*8*2*6=...

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